Step 1 :We are given the expression \(\frac{2}{5}(a-7)\) and the value of \(a\) as 37.
Step 2 :We substitute the value of \(a\) into the expression, which gives us \(\frac{2}{5}(37-7)\).
Step 3 :Simplify the expression inside the parentheses first, which gives us \(\frac{2}{5}(30)\).
Step 4 :Finally, we multiply 2 by 30 and then divide by 5 to get the final result of 12.0.
Step 5 :Final Answer: The result of the expression \(\frac{2}{5}(a-7)\) when \(a=37\) is \(\boxed{12.0}\).